The bomb was planted on the green belt in Gulshan-i-Hadeed area of Karachi and exploded as the vehicle of the Chinese engineer was just passing by it.
Senior police officer Rao Anwar confirmed the attack.
"We have recovered a pamphlet in Sindhi from the site of the blast denouncing foreign control over Sindh's natural resources," he said.
Finche, a Chinese national and his driver Tariq Aziz, 25, were among those injured. The identity of the third victim was not known.
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Police have launched search operation in the area.
No group has claimed responsibility of the attack so far but militants from different groups are active in Pakistan's commercial-hub and its most populous city Karachi, which is also the hotbed of ethnic violence.
Hundreds of Chinese workers and engineers are engaged in different development projects in Pakistan including the USD 46 billion China-Pakistan Economic Corridor (CPEC) launched last year and the Thar coal power project.
China has earlier asked Pakistan to beef up security for its nationals engaged in various development projects in the country.
Following the meeting, Prime Minister Nawaz Sharif had reviewed the security situation in November and assured that the government will provide full security to Chinese workers in Pakistan.